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Finding the Fourth Proportional to 62,434, 86,159.28 and 40,078

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Solution

The fourth proportional to 62,434, 86,159.28 and 40,078 is: 55,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,434 : 86,159.28 = 40,078 : x
  2. Step 2: Convert to fraction form
    62,434/86,159.28 = 40,078/x
  3. Step 3: Cross multiply
    62,434x = 86,159.28 × 40,078
  4. Step 4: Simplify right side
    62,434x = 3,453,091,623.84
  5. Step 5: Solve for x
    x = 3,453,091,623.84/62,434
  6. Step 6: Final answer
    x = 55,307.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.